By Ivanyi A. (ed.)
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Extra info for Algorithms of informatics, vol. 2
Asynchronous message-passing system providing single-source FIFO broadcast service. It uses the idea of timestamps, but in more advanced way than in the implementation of ssf. We denote by cto the service satisfying causal and total orders requirements. Each processor pi maintains in a local array T its own increasing counter (timestamp), and the estimated values of timestamps of other processors. Timestamps are used to mark messages before sending—if pi is going to broadcast a message, it increases its timestamp and uses it to tag this message (lines 11-13).
Nonfaulty Liveness: each message m sent by non-faulty processor pi must be received in every non-faulty processor in the destination set. Faulty Liveness: each message sent by a faulty processor is either received by all non-faulty processors in the destination set or by none of them. One way of implementing ordered and reliable multicast services is to use the corresponding broadcast services (for Sub-Total Order the corresponding broad- 626 13. Distributed Algorithms cast requirement is Total Order).
Liveness: each message sent is received by all processors. In the model with failures we define the notion of reliable broadcast service, which satisfies Integrity, No-Duplicates and two kinds of Liveness properties: Nonfaulty Liveness: each message m sent by non-faulty processor pi must be received by every non-faulty processor. Faulty Liveness: each message sent by a faulty processor is either received by all non-faulty processors or by none of them. We denote by rbb the Reliable Basic Broadcast service, by rssf the Reliable Single-Source FIFO, by rco the Reliable Causal Order, and by rto the Reliable Total Order service.